0) Obsidian Edition with Cosmo, Seagull, Burning Sabre, Hat, ...
1) Bonus items appeared in my inventory just after the wake up and the first ever conversation with an old friend and before checking the cabinet.
2) No bonus items appeared nowhere upon starting a second game (I just wanted to re-start with a mage instead of a warrior)
=> Surely a bug
Other players confirm this behavior:
https://forums.obsidian.net/topic/97521-bonus-items/